use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open…

use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any\n\n(type your answer in interval notation. use a comma to separate answers as needed.)\n\nb. there is no interval on which the function is increasing.\n\nb. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\na. the function is decreasing on the interval(s) $(-\\infty,\\infty)$.\n(type your answer in interval notation. use a comma to separate answers as needed.)\n\nb. there is no interval on which the function is decreasing.

use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any\n\n(type your answer in interval notation. use a comma to separate answers as needed.)\n\nb. there is no interval on which the function is increasing.\n\nb. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\na. the function is decreasing on the interval(s) $(-\\infty,\\infty)$.\n(type your answer in interval notation. use a comma to separate answers as needed.)\n\nb. there is no interval on which the function is decreasing.

Answer

Explanation:

Step1: Analyze function's increasing intervals

A function is increasing when its graph rises from left to right. Looking at the given graph, there is no part where the graph rises (i.e., no interval where (y) - values increase as (x) - values increase). So, there is no interval on which the function is increasing.

Step2: Analyze function's decreasing intervals

A function is decreasing when its graph falls from left to right. For a linear function (as the given graph appears to be a straight - line), if the slope is negative, it is decreasing over its entire domain. The domain of a linear function (assuming it extends infinitely in both (x) directions) is ((-\infty,\infty)). Since the graph is a straight line with a negative slope (falls from left to right), the function is decreasing on ((-\infty,\infty)).

Step3: Analyze function's constant intervals

A function is constant when its graph is a horizontal line (i.e., (y) - values remain the same as (x) - values change). The given graph is a non - horizontal straight line (has a slope (m\neq0)), so there is no interval on which the function is constant.

Answer:

a. B. There is no interval on which the function is increasing. b. A. The function is decreasing on the interval(s) ((-\infty,\infty)) c. B. There is no interval on which the function is constant.